Abstract
The purpose of this section is to prove the singular value decomposition for compact operators in Hilbert spaces. This decomposition shows that compact operators have a simple spectrum and illustrates in a transparent way the ill-posedness of equations which are governed by compact operators (equations of the first kind).
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© 1987 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Baumeister, J. (1987). The singular value decomposition. In: Stable Solution of Inverse Problems. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-83967-1_4
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DOI: https://doi.org/10.1007/978-3-322-83967-1_4
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08961-0
Online ISBN: 978-3-322-83967-1
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